Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 10 - Conics, Parametric Equations, and Polar Coordinates - 10.4 Exercises - Page 722: 4

Answer

Rectangular coordinates: $(0,0)$ -------------------------------

Work Step by Step

In polar coordinates, the first number represents the value for $r$, and the second number represents the value for $\theta$. $(0, -\frac{7\pi} 6)$ Thus: $r = 0$ and $\theta = - \frac {7\pi} 6$ Knowing that $x = rcos(\theta)$ and $y = rsin(\theta):$ $x = rcos(\theta) = (0)(cos(-\frac{7\pi} 6)) = 0$ $y = rsin(\theta) = (0)(sin(-\frac{7\pi} 6)) = 0$
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